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Simplifying 5x2 + 5x + -13 = 23 + -19x Reorder the terms: -13 + 5x + 5x2 = 23 + -19x Solving -13 + 5x + 5x2 = 23 + -19x Solving for variable 'x'. Reorder the terms: -13 + -23 + 5x + 19x + 5x2 = 23 + -19x + -23 + 19x Combine like terms: -13 + -23 = -36 -36 + 5x + 19x + 5x2 = 23 + -19x + -23 + 19x Combine like terms: 5x + 19x = 24x -36 + 24x + 5x2 = 23 + -19x + -23 + 19x Reorder the terms: -36 + 24x + 5x2 = 23 + -23 + -19x + 19x Combine like terms: 23 + -23 = 0 -36 + 24x + 5x2 = 0 + -19x + 19x -36 + 24x + 5x2 = -19x + 19x Combine like terms: -19x + 19x = 0 -36 + 24x + 5x2 = 0 Factor a trinomial. (-6 + -1x)(6 + -5x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-6, 1.2}
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